Questions tagged [tiling]

A geometric packing puzzle in which a number of shapes have to be assembled into a larger shape, generally without overlaps or gaps.

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Hand tiling - 4x inflated pentominoes with pentominoes and tetrominos

This is a manual tiling puzzle. Difficulty level always hard to estimate, but I would say a few minutes per solution for an accomplished solver, all the way to just about impossible for someone like ...
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6 votes
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Set of magic polyominoes that can tile a square

Let's first look at this square grid of numbers. The 9 squares in yellow is what we are looking at and the green numbers are the sums for the digits within the rows and columns. The red squares are ...
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Another hand tiling puzzle - 8 convex shapes from 7 polyiamonds

Arrange the 7 polyiamonds in the image into 8 different convex shapes. One after the other, not simultaneously... Rotating and flipping allowed. No gaps or overlaps. Should be a fairly easy puzzle.
theonetruepath's user avatar
3 votes
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Hand tiling polyiamond puzzle. Non-trivial

Group these 30 polyiamonds into five sets of six, then use each set of six to make five different convex shapes. There are some repeated polyiamonds, no set of six may contain a duplicate. The convex ...
theonetruepath's user avatar
2 votes
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Make three different convex shapes with four polyiamonds, by hand. Five times

To while away the endless holidays. Start with the four polyiamonds in row one. Arrange them without gaps or overlaps (flipping/rotating allowed) in a convex shape. Repeat for two more convex shapes, ...
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1 vote
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Arranging shapes into a similar shape

The goals if possible. Goal 1. In the image there are 12 shapes each containing 15 cells. Take any 3 shapes from the set and arrange them into any new shape, 2 example shapes that you could use are ...
Maff's user avatar
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1 vote
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Ammann chair tiling puzzle

The Amman chair is an interesting shape that can be dissected in two pieces that are smaller copies of the original. The sizes of the two pieces are different. The ratio between the areas of the ...
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1 vote
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Building a cube from small bricks such that no lines can be pushed through between the seams

There is a puzzle on fault-free rectangles tiled by dominoes. It is rather known (it is described in Martin Gardner’s “Mathematical puzzles and diversions”, see here) and rather old (it is known at ...
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